Answer
$-236$
Work Step by Step
We know that for a matrix
\[
\left[\begin{array}{rrr}
a & b & c \\
d &e & f \\
g &h & i \\
\end{array} \right]
\]
the determinant, $D=a(ei-fh)-b(di-fg)+c(dh-eg).$
Hence here $D=4(6\cdot(-4)-2\cdot0)-7((-5)\cdot(-4)-0\cdot3)+0((-5)\cdot2-6\cdot3)=4(-24)-7(20)+0(-28)=-236.$
